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Calcimator

Sight Triangle Calculator

Calculate clear sight triangle dimensions for intersection safety based on AASHTO guidelines, design speed, and intersection control type.

About this calculator

A clear sight triangle is the unobstructed area at an intersection corner that lets drivers on both approaches see each other in time to react. This calculator follows the general framework in the AASHTO Green Book for the three most common intersection control types, each of which uses a different governing distance: stop-controlled intersections size the triangle around the time gap a stopped driver needs to accelerate across the major road's lanes, yield-controlled intersections size the major-road leg around stopping sight distance (SSD) -- the distance needed to see and stop for a hazard -- while the minor-road leg uses a fixed passenger-car gap-acceptance time, and uncontrolled intersections require full stopping sight distance on BOTH approaches since neither driver has the right-of-way assigned by a sign. Major Road Design Speed always increases Major Road Leg, since a faster major road needs a longer stopping or gap-clearing distance on the same axis.

Minor Road Speed's effect depends on which mode you're in: at a stop-controlled intersection (the default) it actually SHRINKS Major Road Leg, because a faster-moving minor-road driver crosses in less time, needing a shorter safety margin from the major-road approach. Grade and Perception-Reaction Time only affect stopping sight distance (used in the yield-controlled and uncontrolled cases), not the stop-controlled departure-sight-triangle calculation.

Inputs

mph
mph
sec
%

Results

Major Road Leg

152 ft

≈ 10 car lengths

Minor Road Leg

57 ft

≈ 10 adult heights

Clear Area4,323 sq ft
Stopping Sight Distance245 ft
Min. Setback20 ft
Driver Eye Height3.5 ft
Object Height3.5 ft

Figures current as of 2018. Source: American Association of State Highway and Transportation Officials, A Policy on Geometric Design of Highways and Streets, 7th Edition, 2018 (the "Green Book")

How to Use This Calculator
  1. Select Intersection Control: Stop-Controlled, Yield-Controlled, or Uncontrolled.
  2. Enter Major Road Design Speed and Minor Road Speed for the two approaches.
  3. Set Lanes to Cross, Perception-Reaction Time, and Grade to match your site.
  4. Review Major Road Leg (ft) and Minor Road Leg (ft), the two sides of the clear sight triangle.
  5. Use Clear Area (sq ft) and Stopping Sight Distance (ft) to check against your site's actual sightlines.

How the result changes with Major Road Design Speed

Major Road Design SpeedMajor Road LegMinor Road Leg
1878 ft57 ft
26113 ft57 ft
53230 ft57 ft
65282 ft57 ft

What each input means

Intersection Control
Type of traffic control on the minor approach.
Major Road Design Speed
Design speed of the major (through) road.
Minor Road Speed
Speed of traffic on the minor (crossing) road.
Lanes to Cross
Number of travel lanes on the major road that must be crossed.
Perception-Reaction Time
Driver perception-reaction time. AASHTO default is 2.5 seconds.
Grade
Grade of the major road at the intersection. Negative = downhill approach.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    6 parameters
    Intersection Control = 1, Major Road Design Speed = 35, Minor Road Speed = 30, Lanes to Cross = 2, Perception-Reaction Time = 2.5, Grade = 0 = 6 input(s) provided
  2. Calculate Major Road Leg
    Major Road Leg
    152 = 152
  3. Calculate Minor Road Leg
    Minor Road Leg
    57 = 57
  4. Calculate Clear Area
    Clear Area
    4323 = 4323
  5. Calculate Stopping Sight Distance
    Stopping Sight Distance
    245 = 245

Figures and sources

Engine last updated . Checked against 3 independently-derived tests — how we verify calculators. Built by Paul Gunder, a software engineer, not a licensed financial, medical, or legal professional.

Frequently Asked Questions

Why does a faster minor road speed shrink the Major Road Leg at a stop sign?

At a stop-controlled intersection (the default control type), Major Road Leg is based on how long a stopped driver needs to accelerate across the major road's lanes -- and that required time gap gets SHORTER as Minor Road Speed increases, because a faster minor-road vehicle covers the intersection in less time. A shorter needed time gap means the major-road driver needs less advance warning distance, which is why Major Road Leg decreases as Minor Road Speed rises in this mode.

Why do Grade and Perception-Reaction Time only matter for some intersection types?

Grade and Perception-Reaction Time feed into the stopping sight distance (SSD) formula published in AASHTO's Green Book, which this calculator uses for yield-controlled and uncontrolled intersections. At a stop-controlled intersection, the governing calculation is instead a gap-acceptance time based on how long it takes a stopped vehicle to cross the lanes, which doesn't use the SSD formula at all, so Grade and Perception-Reaction Time have no effect on the result in that mode.

Why does an uncontrolled intersection need sight distance in both directions?

At an uncontrolled intersection, no sign assigns right-of-way to either approach, so both drivers need enough sight distance to see each other and stop if necessary -- unlike a stop-controlled intersection, where only the stopped driver needs to judge a safe gap. This calculator applies full stopping sight distance to both Major Road Leg and Minor Road Leg in that mode, using each road's own design speed.

What's the difference between Stopping Sight Distance and the Major Road Leg?

Stopping Sight Distance (SSD) is the distance a vehicle needs to see a hazard and come to a complete stop, computed from Major Road Design Speed, grade, and perception-reaction time. Major Road Leg is the sight triangle dimension this calculator actually uses along the major road, which equals SSD directly for yield-controlled and uncontrolled intersections, but is calculated differently (from a gap-acceptance time) for stop-controlled intersections.

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